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Simplifying -2.7 + -3.8(1.5 + -7.5b) = 79.65 -2.7 + (1.5 * -3.8 + -7.5b * -3.8) = 79.65 -2.7 + (-5.7 + 28.5b) = 79.65 Combine like terms: -2.7 + -5.7 = -8.4 -8.4 + 28.5b = 79.65 Solving -8.4 + 28.5b = 79.65 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8.4' to each side of the equation. -8.4 + 8.4 + 28.5b = 79.65 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 28.5b = 79.65 + 8.4 28.5b = 79.65 + 8.4 Combine like terms: 79.65 + 8.4 = 88.05 28.5b = 88.05 Divide each side by '28.5'. b = 3.089473684 Simplifying b = 3.089473684
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